This can help:
mysqldump --compatible=mysql40 -u user -p DB > dumpfile.sql
PHPMyAdmin has the same MySQL compatibility mode in the 'expert' export options. Although that has on occasions done nothing.
If you don't have access via the command line or via PHPMyAdmin then editing the
/*!50003 SET character_set_client = utf8mb4 */ ;
bit to read 'utf8'
only, is the way to go.